406219097088 has 704 divisors, whose sum is σ = 1434458995200. Its totient is φ = 111105146880.

The previous prime is 406219097077. The next prime is 406219097093. The reversal of 406219097088 is 880790912604.

406219097088 is a `hidden beast` number, since 4 + 0 + 621 + 9 + 0 + 9 + 7 + 0 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 881169178 + ... + 881169638.

It is an arithmetic number, because the mean of its divisors is an integer number (2037583800).

Almost surely, 2^406219097088 is an apocalyptic number.

406219097088 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406219097088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717229497600).

406219097088 is an abundant number, since it is smaller than the sum of its proper divisors (1028239898112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

406219097088 is a wasteful number, since it uses less digits than its factorization.

406219097088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 406219097088 in words is "four hundred six billion, two hundred nineteen million, ninety-seven thousand, eighty-eight".